Characters of twisted fractional linear groups
So\v{n}a Pavl\'ikov\'a, Jozef \v{S}ir\'a\v{n}
TL;DR
This paper determines the character tables for twisted fractional linear groups, which are part of the classification of finite sharply 3-transitive groups, providing new insights into their representation theory.
Contribution
It provides the first complete character tables for these specific twisted fractional linear groups, expanding understanding of their structure.
Findings
Character tables for twisted fractional linear groups are explicitly computed.
The results classify the representation theory of these groups.
New connections to Zassenhaus' classification are established.
Abstract
We determine character tables for twisted fractional linear groups that form the `other' family in Zassenhaus' classification of finite sharply 3-transitive groups.
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Taxonomy
TopicsFinite Group Theory Research · Geometric and Algebraic Topology · Coding theory and cryptography